yikes, yep privet, is it sending up lots of seedlings? The plus is that they are evergreen and will grow with neglect. The minus... staining berries, stinky flowers, hard to remove, will start from bird drops, send up suckers everywhere. From your size description I am guessing ligustrum lucidum You decide.

A bit small for ID, can we get a closeup?

Can you tell us where this plant is growing? Is it in your zone or did you see it somewhere else? Also are those yellowish blobs fruit or flowers? And if they are flowers are they a pompom sort of affair? Does it have thorns?

The extreme hot and dry conditions in Texas do prevent some invasives from being as aggressive as they are in better areas. In my area (north Georgia), Mimosa has long been an invasive, especially on roadsides and vacant open land. It's rapid growth out-competes slower growing native species that might have grown there otherwise. Tree of Heaven (Ailanthus altissima) is making great strides in new locations, increasing it's spread every year. Amazingly, our northern neighbor Tennessee, is more infested that we are with this pest. It stands shoulder to shoulder with the invasive bush honeysuckles that extend from where it is too shady for Tree of Heaven deep into the forest interior. I have seen "natural" areas in Tennessee that are just nothing but bush honeysuckle. Chinaberry is moving into the metro area of Atlanta from the southeast where it has been a pest for years. Spread has been accelerated by folks that bring some seeds from elsewhere because "one more won't harm". However, bringing a new invasive into an area where it wasn't is harmful so now I guess these can fight with Mimosa and Tree of Heaven for the roadsides. That is, if they can get in there in between the Chinese privet .... Princess Tree ( Paulownia tomentosa) is also a horrible plant and I've seen it on highways way up into the North Carolina mountains. It's small seeds are scattered by the wind mostly. But our newest invasive is courtesy of man (again). Ornamental pears (think 'Bradford' pear) are producing viable fruit and being spread by animals/birds. Sunny roadsides and vacant lots now have lots of these thorny seedlings - very obvious in spring when they bloom. And while I might appreciate the beauty of some of these plants, I can't help but consider how little they contribute to the natural environment which they have stomped on. Insects in our environments have not evolved with these plants and so get little nutritional value from them. Birds might eat some of their fruit/seeds, but birds heavily rely on insects as part of their diet (especially for their babies). Reduced native plant biomass in an area that is already reduced thanks to man's destruction of habitat means fewer insects for birds to consume. And that means fewer birds. So while I agree that man is the worst impact on the natural environment ... it is also man that has the brains and the power to make it better. I'm not saying that all non-native plants are awful, but these plants truly are. Their ability to spread themselves beyond your yard - even if you can personally see it, it is documented - makes them so. Plant a forsythia, a gardenia, a camellia, a crape myrtle, a hydrangea, daylilies, even knockout roses ... but don't keep these invasives going.